Question

How many words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once?

Answer 1

40320
hope it helps..........

Answer 2

Answer:

40,320 ways

Step-by-step explanation:

To find how many words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once

since Number of letters in EQUATION=8

no letters are repeated here.

number of letters are to be used to form new words=8

so possible ways are ⁸P₈

$=\frac{8!}{(8-8)!}\\\\=\frac{8\times7\times6\times5\times4\times3\times2\times1}{0!} \\\\since\:\:0!=1\\\\=8\times7\times6\times5\times4\times3\times2\times1\\\\=40,320\:ways$